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Finding the Fourth Proportional to 367,444.84, 507,080.10 and 204,097

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Solution

The fourth proportional to 367,444.84, 507,080.10 and 204,097 is: 281,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,444.84 : 507,080.10 = 204,097 : x
  2. Step 2: Convert to fraction form
    367,444.84/507,080.10 = 204,097/x
  3. Step 3: Cross multiply
    367,444.84x = 507,080.10 × 204,097
  4. Step 4: Simplify right side
    367,444.84x = 103,493,527,169.70
  5. Step 5: Solve for x
    x = 103,493,527,169.70/367,444.84
  6. Step 6: Final answer
    x = 281,657.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.